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Finding the Fourth Proportional to 4,572, 6,309.63 and 2,582.51

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Solution

The fourth proportional to 4,572, 6,309.63 and 2,582.51 is: 3,564.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572 : 6,309.63 = 2,582.51 : x
  2. Step 2: Convert to fraction form
    4,572/6,309.63 = 2,582.51/x
  3. Step 3: Cross multiply
    4,572x = 6,309.63 × 2,582.51
  4. Step 4: Simplify right side
    4,572x = 16,294,651.02
  5. Step 5: Solve for x
    x = 16,294,651.02/4,572
  6. Step 6: Final answer
    x = 3,564.01

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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.