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Finding the Fourth Proportional to 3,602.95, 5,401.80 and 2,430.04

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Solution

The fourth proportional to 3,602.95, 5,401.80 and 2,430.04 is: 3,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.95 : 5,401.80 = 2,430.04 : x
  2. Step 2: Convert to fraction form
    3,602.95/5,401.80 = 2,430.04/x
  3. Step 3: Cross multiply
    3,602.95x = 5,401.80 × 2,430.04
  4. Step 4: Simplify right side
    3,602.95x = 13,126,590.07
  5. Step 5: Solve for x
    x = 13,126,590.07/3,602.95
  6. Step 6: Final answer
    x = 3,643.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.