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Finding the Fourth Proportional to 4,707.63, 7,062.10 and 1,588.53

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Solution

The fourth proportional to 4,707.63, 7,062.10 and 1,588.53 is: 2,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.63 : 7,062.10 = 1,588.53 : x
  2. Step 2: Convert to fraction form
    4,707.63/7,062.10 = 1,588.53/x
  3. Step 3: Cross multiply
    4,707.63x = 7,062.10 × 1,588.53
  4. Step 4: Simplify right side
    4,707.63x = 11,218,357.71
  5. Step 5: Solve for x
    x = 11,218,357.71/4,707.63
  6. Step 6: Final answer
    x = 2,383.02

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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.