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Finding the Fourth Proportional to 3,750.15, 5,624.73 and 977.01

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Solution

The fourth proportional to 3,750.15, 5,624.73 and 977.01 is: 1,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.15 : 5,624.73 = 977.01 : x
  2. Step 2: Convert to fraction form
    3,750.15/5,624.73 = 977.01/x
  3. Step 3: Cross multiply
    3,750.15x = 5,624.73 × 977.01
  4. Step 4: Simplify right side
    3,750.15x = 5,495,417.46
  5. Step 5: Solve for x
    x = 5,495,417.46/3,750.15
  6. Step 6: Final answer
    x = 1,465.39

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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.