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Finding the Fourth Proportional to 3,124.35, 4,686.53 and 933.12

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Solution

The fourth proportional to 3,124.35, 4,686.53 and 933.12 is: 1,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.35 : 4,686.53 = 933.12 : x
  2. Step 2: Convert to fraction form
    3,124.35/4,686.53 = 933.12/x
  3. Step 3: Cross multiply
    3,124.35x = 4,686.53 × 933.12
  4. Step 4: Simplify right side
    3,124.35x = 4,373,090.21
  5. Step 5: Solve for x
    x = 4,373,090.21/3,124.35
  6. Step 6: Final answer
    x = 1,399.68

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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.