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Finding the Fourth Proportional to 4,130.48, 6,195.40 and 1,052.40

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Solution

The fourth proportional to 4,130.48, 6,195.40 and 1,052.40 is: 1,578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.48 : 6,195.40 = 1,052.40 : x
  2. Step 2: Convert to fraction form
    4,130.48/6,195.40 = 1,052.40/x
  3. Step 3: Cross multiply
    4,130.48x = 6,195.40 × 1,052.40
  4. Step 4: Simplify right side
    4,130.48x = 6,520,038.96
  5. Step 5: Solve for x
    x = 6,520,038.96/4,130.48
  6. Step 6: Final answer
    x = 1,578.52

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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.