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Finding the Fourth Proportional to 4,409.24, 6,590.00 and 4,058.99

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Solution

The fourth proportional to 4,409.24, 6,590.00 and 4,058.99 is: 6,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.24 : 6,590.00 = 4,058.99 : x
  2. Step 2: Convert to fraction form
    4,409.24/6,590.00 = 4,058.99/x
  3. Step 3: Cross multiply
    4,409.24x = 6,590.00 × 4,058.99
  4. Step 4: Simplify right side
    4,409.24x = 26,748,690.86
  5. Step 5: Solve for x
    x = 26,748,690.86/4,409.24
  6. Step 6: Final answer
    x = 6,066.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.