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Finding the Fourth Proportional to 4,307.22, 5,946.22 and 2,898.32

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Solution

The fourth proportional to 4,307.22, 5,946.22 and 2,898.32 is: 4,001.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.22 : 5,946.22 = 2,898.32 : x
  2. Step 2: Convert to fraction form
    4,307.22/5,946.22 = 2,898.32/x
  3. Step 3: Cross multiply
    4,307.22x = 5,946.22 × 2,898.32
  4. Step 4: Simplify right side
    4,307.22x = 17,234,022.24
  5. Step 5: Solve for x
    x = 17,234,022.24/4,307.22
  6. Step 6: Final answer
    x = 4,001.19

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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.