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Finding the Fourth Proportional to 5,567.65, 7,691.24 and 4,870.54

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Solution

The fourth proportional to 5,567.65, 7,691.24 and 4,870.54 is: 6,728.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.65 : 7,691.24 = 4,870.54 : x
  2. Step 2: Convert to fraction form
    5,567.65/7,691.24 = 4,870.54/x
  3. Step 3: Cross multiply
    5,567.65x = 7,691.24 × 4,870.54
  4. Step 4: Simplify right side
    5,567.65x = 37,460,492.07
  5. Step 5: Solve for x
    x = 37,460,492.07/5,567.65
  6. Step 6: Final answer
    x = 6,728.24

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