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Finding the Fourth Proportional to 5,703, 8,547.48 and 4,050.60

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Solution

The fourth proportional to 5,703, 8,547.48 and 4,050.60 is: 6,070.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703 : 8,547.48 = 4,050.60 : x
  2. Step 2: Convert to fraction form
    5,703/8,547.48 = 4,050.60/x
  3. Step 3: Cross multiply
    5,703x = 8,547.48 × 4,050.60
  4. Step 4: Simplify right side
    5,703x = 34,622,422.49
  5. Step 5: Solve for x
    x = 34,622,422.49/5,703
  6. Step 6: Final answer
    x = 6,070.91

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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.