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Finding the Fourth Proportional to 4,703.22, 7,055.76 and 1,583.10

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Solution

The fourth proportional to 4,703.22, 7,055.76 and 1,583.10 is: 2,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.22 : 7,055.76 = 1,583.10 : x
  2. Step 2: Convert to fraction form
    4,703.22/7,055.76 = 1,583.10/x
  3. Step 3: Cross multiply
    4,703.22x = 7,055.76 × 1,583.10
  4. Step 4: Simplify right side
    4,703.22x = 11,169,973.66
  5. Step 5: Solve for x
    x = 11,169,973.66/4,703.22
  6. Step 6: Final answer
    x = 2,374.96

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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.