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Finding the Fourth Proportional to 5,503.04, 7,594.16 and 2,985.16

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Solution

The fourth proportional to 5,503.04, 7,594.16 and 2,985.16 is: 4,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.04 : 7,594.16 = 2,985.16 : x
  2. Step 2: Convert to fraction form
    5,503.04/7,594.16 = 2,985.16/x
  3. Step 3: Cross multiply
    5,503.04x = 7,594.16 × 2,985.16
  4. Step 4: Simplify right side
    5,503.04x = 22,669,752.16
  5. Step 5: Solve for x
    x = 22,669,752.16/5,503.04
  6. Step 6: Final answer
    x = 4,119.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.