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Finding the Fourth Proportional to 5,403.75, 7,457.19 and 3,045.93

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Solution

The fourth proportional to 5,403.75, 7,457.19 and 3,045.93 is: 4,203.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.75 : 7,457.19 = 3,045.93 : x
  2. Step 2: Convert to fraction form
    5,403.75/7,457.19 = 3,045.93/x
  3. Step 3: Cross multiply
    5,403.75x = 7,457.19 × 3,045.93
  4. Step 4: Simplify right side
    5,403.75x = 22,714,078.74
  5. Step 5: Solve for x
    x = 22,714,078.74/5,403.75
  6. Step 6: Final answer
    x = 4,203.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.