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Finding the Fourth Proportional to 4,681.52, 6,490.08 and 4,431.84

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Solution

The fourth proportional to 4,681.52, 6,490.08 and 4,431.84 is: 6,143.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.52 : 6,490.08 = 4,431.84 : x
  2. Step 2: Convert to fraction form
    4,681.52/6,490.08 = 4,431.84/x
  3. Step 3: Cross multiply
    4,681.52x = 6,490.08 × 4,431.84
  4. Step 4: Simplify right side
    4,681.52x = 28,762,971.81
  5. Step 5: Solve for x
    x = 28,762,971.81/4,681.52
  6. Step 6: Final answer
    x = 6,143.94

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.