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Finding the Fourth Proportional to 3,125.14, 4,686.32 and 933.46

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Solution

The fourth proportional to 3,125.14, 4,686.32 and 933.46 is: 1,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.14 : 4,686.32 = 933.46 : x
  2. Step 2: Convert to fraction form
    3,125.14/4,686.32 = 933.46/x
  3. Step 3: Cross multiply
    3,125.14x = 4,686.32 × 933.46
  4. Step 4: Simplify right side
    3,125.14x = 4,374,482.89
  5. Step 5: Solve for x
    x = 4,374,482.89/3,125.14
  6. Step 6: Final answer
    x = 1,399.77

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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.