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Finding the Fourth Proportional to 4,783.84, 7,177.91 and 2,590.00

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Solution

The fourth proportional to 4,783.84, 7,177.91 and 2,590.00 is: 3,886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.84 : 7,177.91 = 2,590.00 : x
  2. Step 2: Convert to fraction form
    4,783.84/7,177.91 = 2,590.00/x
  3. Step 3: Cross multiply
    4,783.84x = 7,177.91 × 2,590.00
  4. Step 4: Simplify right side
    4,783.84x = 18,590,756.01
  5. Step 5: Solve for x
    x = 18,590,756.01/4,783.84
  6. Step 6: Final answer
    x = 3,886.16

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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.