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Finding the Fourth Proportional to 5,117.40, 7,676.18 and 1,607.32

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Solution

The fourth proportional to 5,117.40, 7,676.18 and 1,607.32 is: 2,411.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.40 : 7,676.18 = 1,607.32 : x
  2. Step 2: Convert to fraction form
    5,117.40/7,676.18 = 1,607.32/x
  3. Step 3: Cross multiply
    5,117.40x = 7,676.18 × 1,607.32
  4. Step 4: Simplify right side
    5,117.40x = 12,338,077.64
  5. Step 5: Solve for x
    x = 12,338,077.64/5,117.40
  6. Step 6: Final answer
    x = 2,411.01

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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.