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Finding the Fourth Proportional to 4,572, 6,307.74 and 2,801.70

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Solution

The fourth proportional to 4,572, 6,307.74 and 2,801.70 is: 3,865.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572 : 6,307.74 = 2,801.70 : x
  2. Step 2: Convert to fraction form
    4,572/6,307.74 = 2,801.70/x
  3. Step 3: Cross multiply
    4,572x = 6,307.74 × 2,801.70
  4. Step 4: Simplify right side
    4,572x = 17,672,395.16
  5. Step 5: Solve for x
    x = 17,672,395.16/4,572
  6. Step 6: Final answer
    x = 3,865.35

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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.