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Finding the Fourth Proportional to 4,756.36, 6,590.30 and 4,648.84

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Solution

The fourth proportional to 4,756.36, 6,590.30 and 4,648.84 is: 6,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.36 : 6,590.30 = 4,648.84 : x
  2. Step 2: Convert to fraction form
    4,756.36/6,590.30 = 4,648.84/x
  3. Step 3: Cross multiply
    4,756.36x = 6,590.30 × 4,648.84
  4. Step 4: Simplify right side
    4,756.36x = 30,637,250.25
  5. Step 5: Solve for x
    x = 30,637,250.25/4,756.36
  6. Step 6: Final answer
    x = 6,441.32

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.