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Finding the Fourth Proportional to 4,700.76, 7,051.23 and 1,580.19

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Solution

The fourth proportional to 4,700.76, 7,051.23 and 1,580.19 is: 2,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.76 : 7,051.23 = 1,580.19 : x
  2. Step 2: Convert to fraction form
    4,700.76/7,051.23 = 1,580.19/x
  3. Step 3: Cross multiply
    4,700.76x = 7,051.23 × 1,580.19
  4. Step 4: Simplify right side
    4,700.76x = 11,142,283.13
  5. Step 5: Solve for x
    x = 11,142,283.13/4,700.76
  6. Step 6: Final answer
    x = 2,370.32

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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.