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Finding the Fourth Proportional to 5,681.34, 8,515.71 and 4,290.17

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Solution

The fourth proportional to 5,681.34, 8,515.71 and 4,290.17 is: 6,430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.34 : 8,515.71 = 4,290.17 : x
  2. Step 2: Convert to fraction form
    5,681.34/8,515.71 = 4,290.17/x
  3. Step 3: Cross multiply
    5,681.34x = 8,515.71 × 4,290.17
  4. Step 4: Simplify right side
    5,681.34x = 36,533,800.99
  5. Step 5: Solve for x
    x = 36,533,800.99/5,681.34
  6. Step 6: Final answer
    x = 6,430.49

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Why These Related Problems?

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