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Finding the Fourth Proportional to 5,802.74, 8,001.90 and 4,966.22

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Solution

The fourth proportional to 5,802.74, 8,001.90 and 4,966.22 is: 6,848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.74 : 8,001.90 = 4,966.22 : x
  2. Step 2: Convert to fraction form
    5,802.74/8,001.90 = 4,966.22/x
  3. Step 3: Cross multiply
    5,802.74x = 8,001.90 × 4,966.22
  4. Step 4: Simplify right side
    5,802.74x = 39,739,195.82
  5. Step 5: Solve for x
    x = 39,739,195.82/5,802.74
  6. Step 6: Final answer
    x = 6,848.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.