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Finding the Fourth Proportional to 5,402.63, 7,457.02 and 3,518.91

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Solution

The fourth proportional to 5,402.63, 7,457.02 and 3,518.91 is: 4,857.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.63 : 7,457.02 = 3,518.91 : x
  2. Step 2: Convert to fraction form
    5,402.63/7,457.02 = 3,518.91/x
  3. Step 3: Cross multiply
    5,402.63x = 7,457.02 × 3,518.91
  4. Step 4: Simplify right side
    5,402.63x = 26,240,582.25
  5. Step 5: Solve for x
    x = 26,240,582.25/5,402.63
  6. Step 6: Final answer
    x = 4,857.00

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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.