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Finding the Fourth Proportional to 5,875.68, 8,805.24 and 4,637.64

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Solution

The fourth proportional to 5,875.68, 8,805.24 and 4,637.64 is: 6,949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.68 : 8,805.24 = 4,637.64 : x
  2. Step 2: Convert to fraction form
    5,875.68/8,805.24 = 4,637.64/x
  3. Step 3: Cross multiply
    5,875.68x = 8,805.24 × 4,637.64
  4. Step 4: Simplify right side
    5,875.68x = 40,835,533.23
  5. Step 5: Solve for x
    x = 40,835,533.23/5,875.68
  6. Step 6: Final answer
    x = 6,949.92

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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.