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Finding the Fourth Proportional to 5,264.88, 7,898.53 and 2,802.07

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Solution

The fourth proportional to 5,264.88, 7,898.53 and 2,802.07 is: 4,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.88 : 7,898.53 = 2,802.07 : x
  2. Step 2: Convert to fraction form
    5,264.88/7,898.53 = 2,802.07/x
  3. Step 3: Cross multiply
    5,264.88x = 7,898.53 × 2,802.07
  4. Step 4: Simplify right side
    5,264.88x = 22,132,242.08
  5. Step 5: Solve for x
    x = 22,132,242.08/5,264.88
  6. Step 6: Final answer
    x = 4,203.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.