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Finding the Fourth Proportional to 4,953.78, 7,430.90 and 2,030.04

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Solution

The fourth proportional to 4,953.78, 7,430.90 and 2,030.04 is: 3,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.78 : 7,430.90 = 2,030.04 : x
  2. Step 2: Convert to fraction form
    4,953.78/7,430.90 = 2,030.04/x
  3. Step 3: Cross multiply
    4,953.78x = 7,430.90 × 2,030.04
  4. Step 4: Simplify right side
    4,953.78x = 15,085,024.24
  5. Step 5: Solve for x
    x = 15,085,024.24/4,953.78
  6. Step 6: Final answer
    x = 3,045.15

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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.