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Finding the Fourth Proportional to 4,871.59, 7,307.31 and 4,560.28

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Solution

The fourth proportional to 4,871.59, 7,307.31 and 4,560.28 is: 6,840.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.59 : 7,307.31 = 4,560.28 : x
  2. Step 2: Convert to fraction form
    4,871.59/7,307.31 = 4,560.28/x
  3. Step 3: Cross multiply
    4,871.59x = 7,307.31 × 4,560.28
  4. Step 4: Simplify right side
    4,871.59x = 33,323,379.65
  5. Step 5: Solve for x
    x = 33,323,379.65/4,871.59
  6. Step 6: Final answer
    x = 6,840.35

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