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Finding the Fourth Proportional to 4,967.10, 7,448.85 and 1,503.18

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Solution

The fourth proportional to 4,967.10, 7,448.85 and 1,503.18 is: 2,254.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.10 : 7,448.85 = 1,503.18 : x
  2. Step 2: Convert to fraction form
    4,967.10/7,448.85 = 1,503.18/x
  3. Step 3: Cross multiply
    4,967.10x = 7,448.85 × 1,503.18
  4. Step 4: Simplify right side
    4,967.10x = 11,196,962.34
  5. Step 5: Solve for x
    x = 11,196,962.34/4,967.10
  6. Step 6: Final answer
    x = 2,254.23

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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.