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Finding the Fourth Proportional to 4,762.08, 7,154.10 and 4,565.25

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Solution

The fourth proportional to 4,762.08, 7,154.10 and 4,565.25 is: 6,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.08 : 7,154.10 = 4,565.25 : x
  2. Step 2: Convert to fraction form
    4,762.08/7,154.10 = 4,565.25/x
  3. Step 3: Cross multiply
    4,762.08x = 7,154.10 × 4,565.25
  4. Step 4: Simplify right side
    4,762.08x = 32,660,255.03
  5. Step 5: Solve for x
    x = 32,660,255.03/4,762.08
  6. Step 6: Final answer
    x = 6,858.40

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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.