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Finding the Fourth Proportional to 5,681.07, 8,510.65 and 4,642.24

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Solution

The fourth proportional to 5,681.07, 8,510.65 and 4,642.24 is: 6,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.07 : 8,510.65 = 4,642.24 : x
  2. Step 2: Convert to fraction form
    5,681.07/8,510.65 = 4,642.24/x
  3. Step 3: Cross multiply
    5,681.07x = 8,510.65 × 4,642.24
  4. Step 4: Simplify right side
    5,681.07x = 39,508,479.86
  5. Step 5: Solve for x
    x = 39,508,479.86/5,681.07
  6. Step 6: Final answer
    x = 6,954.41

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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.