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Finding the Fourth Proportional to 5,688.07, 7,854.48 and 3,567.24

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Solution

The fourth proportional to 5,688.07, 7,854.48 and 3,567.24 is: 4,925.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.07 : 7,854.48 = 3,567.24 : x
  2. Step 2: Convert to fraction form
    5,688.07/7,854.48 = 3,567.24/x
  3. Step 3: Cross multiply
    5,688.07x = 7,854.48 × 3,567.24
  4. Step 4: Simplify right side
    5,688.07x = 28,018,815.24
  5. Step 5: Solve for x
    x = 28,018,815.24/5,688.07
  6. Step 6: Final answer
    x = 4,925.89

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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.